3755678503680 has 1080 divisors, whose sum is σ = 14035370879376. Its totient is φ = 958368153600.

The previous prime is 3755678503679. The next prime is 3755678503699. The reversal of 3755678503680 is 863058765573.

It is a happy number.

3755678503680 is a `hidden beast` number, since 3 + 7 + 5 + 5 + 67 + 8 + 503 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37184935630 + ... + 37184935730.

Almost surely, 2^{3755678503680} is an apocalyptic number.

3755678503680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3755678503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7017685439688).

3755678503680 is an abundant number, since it is smaller than the sum of its proper divisors (10279692375696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3755678503680 is an equidigital number, since it uses as much as digits as its factorization.

3755678503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 3755678503680 in words is "three trillion, seven hundred fifty-five billion, six hundred seventy-eight million, five hundred three thousand, six hundred eighty".